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Finding the Fourth Proportional to 2,785.73, 3,848.04 and 2,230.17

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Solution

The fourth proportional to 2,785.73, 3,848.04 and 2,230.17 is: 3,080.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.73 : 3,848.04 = 2,230.17 : x
  2. Step 2: Convert to fraction form
    2,785.73/3,848.04 = 2,230.17/x
  3. Step 3: Cross multiply
    2,785.73x = 3,848.04 × 2,230.17
  4. Step 4: Simplify right side
    2,785.73x = 8,581,783.37
  5. Step 5: Solve for x
    x = 8,581,783.37/2,785.73
  6. Step 6: Final answer
    x = 3,080.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.